There are 2 connector types you can use for touch components:
To implement CRUD operation you should use connectors mentioned above together with Touch dataProcessor. For more details, see DHTMLX Touch documentation.
Basically, to save data changes you can use code like:
dhx.ajax().post("connector.php?action=insert", $$('form').getValues());
For more details, see the guide 'Saving data changes made in form'.